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- #1
charlieanne
New member
- Oct 1, 2012
- 2
Hi, I did a search in the forums and found a similar problem, but nothing on this particular one. I have a problem asking for a procedure to find the number of toothpicks in any figure in a sequence, with an illustration that shows the first three figures of the sequence of triangles built with squares made up of toothpicks. The figures are "L" shaped meaning that the first "triangle" starts with a square and then has another square directly above and directly to the right of it with 1 shared toothpick for each new square (10 toothpicks total). The next is the same concept but with one square added into the middle of the two arms (18 toothpicks). I have drawn out the first 10 figures on graph paper but can't seem to find a pattern to figure out a procedure that will work no matter what t_{n} I'm trying to find.